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FRM Part II · FRM Exam Part II · Repurchase Agreements and Financing

A hedge fund enters an overnight repo as the cash borrower, delivering USD 50 million of bonds with a 4% haircut to the cash lender. The repo rate is 3.60% on an actual/360 basis. What is the repayment amount the next day, to the nearest dollar?

The repayment is USD 48,004,800. The cash advanced is the collateral value less the 4% haircut, 48 million. Overnight interest at 3.60% on actual/360 is 4,800, which is added to the principal. Using the full 50 million as the base would be wrong.

  1. AUSD 48,000,000
  2. BUSD 48,004,800Correct
  3. CUSD 48,005,000
  4. DUSD 50,005,000

Explanation

Cash lent = 50,000,000 x (1 - 0.04) = 48,000,000. Interest = 48,000,000 x 0.036 x 1/360 = 4,800. Repayment = 48,004,800. Applying the rate to the full collateral value gives 5,000 of interest (the wrong base), and ignoring interest gives 48,000,000.

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